Linear Entropy of a Driven Central Spin Interacting with an Antiferromagnetic Environment

Abstract

We exploit a scheme to obtain a long-lived entanglement using a driven central spin interacting with an antiferromagnetic spin bath. Our numerical results show the effects of different parameters on the population inversion and the entanglement dynamics in terms of the linear entropy. It is shown that the long-lived entanglement is an intriguing result corresponding to the collapse region of the atomic inversion. As illustration, we examine the long-time interaction of the entanglement under the resonance and off-resonance regimes.

Entanglement of a Nanowires System with Rashba Interaction

“…One of the most critical and widespread measures of quantum correlations is quantum entanglement which represents the extent of relationship and influence between the state of two or more subsystems on each other, even after separating them [22][23][24][25]. Numerous entanglement measures have been proposed to determine the degree of entanglement between two or more quantum systems such as von-Neumann entropy [26], linear entropy or purity [27][28][29], information entropy [30,31], concurrence [32,33], and negativity [34][35][36]. Furthermore, many research groups discussed the quantum entanglement in the Jaynes-Cummings model (JCM) and other systems as two-level atoms and two-photon process, but have not previously investigated the entanglement of nanowire systems.…”

Investigation of soliton solutions with different wave structures to the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation

“…Solitons have been widely studied in theory and experiment in recent years. Nowadays, the investigation of the soliton solutions of a number of complex nonlinear equations plays a considerable role due to the expectant effectuation in the real world, especially in different aspects of mathematical and physical phenomena [1][2][3][4][5][6][7][8][9]. Most complex phenomena arising in applied science, such as nuclear physics, chemical reactions, signal processing, optical fibers, fluid mechanics, plasma, nonlinear optics and ecology, can be sometimes modeled and described by these equations.…”